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Finding the Third Proportional to 133,456 and 156,985

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Solution

The third proportional to 133,456 and 156,985 is: 184,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,456 : 156,985 = 156,985 : x
  2. Step 2: Convert to fraction form
    133,456/156,985 = 156,985/x
  3. Step 3: Cross multiply
    133,456x = 156,985 × 156,985
  4. Step 4: Simplify right side
    133,456x = 24,644,290,225
  5. Step 5: Solve for x
    x = 24,644,290,225/133,456
  6. Step 6: Final answer
    x = 184,662.29

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.